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We investigate the synchronization of oscillators based on anharmonic nanoelectromechanical resonators. Our experimental implementation allows unprecedented observation and control of parameters governing the dynamics of synchronization. We…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 M. H. Matheny , M. Grau , L. G. Villanueva , R. B. Karabalin , M. C. Cross , M. L. Roukes

We investigate electrical transport through a single-electron transistor coupled to a nanomechanical oscillator. Using a combination of a master-equation approach and a numerical Monte Carlo method, we calculate the average current and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. B. Doiron , W. Belzig , C. Bruder

The influence of outside quantum noises on the amplification of weak measurements is investigated. Three typical quantum noises are discussed. The maximum values of the pointer's shifts decrease sharply with the strength of the depolarizing…

Quantum Physics · Physics 2015-05-11 Xuanmin Zhu , Yu-Xiang Zhang

The primary contribution of this paper is to characterize the propagation of acoustic signal carrying information through any medium and the interaction of the travelling acoustic signal with the surrounding medium. We will use the concept…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Indrakshi Dey

We have simulated the non-linear dynamics of networks of spin-transfer oscillators. The oscillators are magnetically uncoupled but electrically connected in series. We use a modified Landau-Lifschitz- Gilbert equation to describe the motion…

Materials Science · Physics 2009-11-11 J. Grollier , V. Cros , A. Fert

The cochlea's capacity to process a broad range of sound intensities has been linked to nonlinear amplification by critical oscillators. However, while the increasing sensitivity of a critical oscillator upon decreasing the stimulus…

Biological Physics · Physics 2025-12-16 Henri Ver Hulst , Carles Blanch Mercader , Frank Jülicher , Pascal Martin

We study the long time behaviour of a nonlinear oscillator subject to a random multiplicative noise with a spectral density (or power-spectrum) that decays as a power law at high frequencies. When the dissipation is negligible, physical…

Chaotic Dynamics · Physics 2009-11-13 Kirone Mallick

We propose a method for optimizing mutual coupling functions to achieve fast and global synchronization between a pair of weakly coupled limit-cycle oscillators. Our method is based on phase reduction that provides a concise low-dimensional…

Adaptation and Self-Organizing Systems · Physics 2025-06-18 Norihisa Namura , Hiroya Nakao

We study the Josephson oscillations of two coupled elongated condensates. Linearized calculations show that the oscillating mode uniform over the length of the condensates (uniform Josephson mode) is unstable : modes of non zero…

Atomic Physics · Physics 2009-11-11 Isabelle Bouchoule

We analytically and numerically investigate the evolutions of the scalar perturbations through the cycles with nonsingular bounce. It is found that the amplitude of the curvature perturbation on large scale will be amplified cycle by cycle,…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Zhi-Guo Liu , Yun-Song Piao

Emission of photon pairs by metal-dielectric interface in case of a superluminally propagating laser-induced nonlinear polarization is considered. Using oblique incidence of the laser wave it is possible to tune frequencies of generated…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 Vladimir Hizhnyakov

We investigate the impact of nonlinear damping on the dynamics of a nanomechanical doubly clamped beam. The beam is driven into nonlinear regime and the response is measured by a displacement detector. For data analysis we introduce a…

Other Condensed Matter · Physics 2009-09-29 Stav Zaitsev , Ronen Almog , Oleg Shtempluck , Eyal Buks

Breaking the symmetry in a coupled wave system can result in unusual amplification behavior. In the case of difference parametric amplification the resonant pump frequency is equal to the difference, instead of the sum, frequency of the…

Quantum Physics · Physics 2021-05-17 Wayne Cheng-Wei Huang , Herman Batelaan

We explore the dynamical consequences of switching the coupling form in a system of coupled oscillators. We consider two types of switching, one where the coupling function changes periodically and one where it changes probabilistically. We…

Stimulated wave of polarization, triggered by a flip of a single spin, presents a simple model of quantum amplification. Previously, it has been found that such wave can be excited in a 1D Ising chain with nearest-neighbor interactions,…

Quantum Physics · Physics 2009-11-13 G. B. Furman , S. D. Goren , J. -S. Lee , A. K. Khitrin , V. M. Meerovich , V. L. Sokolovsky

Because of their nonlinearity, vibrational modes of resonantly driven nanomechanical systems have coexisting stable states of forced vibrations in a certain range of the amplitude of the driving force. Depending on its phase, which encodes…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Yukihiro Tadokoro , Hiroya Tanaka , M. I. Dykman

We study synchronization properties of general uncoupled limit-cycle oscillators driven by common and independent Gaussian white noises. Using phase reduction and averaging methods, we analytically derive the stationary distribution of the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Hiroya Nakao , Kensuke Arai , Yoji Kawamura

We present a parameter estimation technique based on performing joint measurements of a weak interaction away from the weak-value-amplification approximation. Two detectors are used to collect full statistics of the correlations between two…

Quantum Physics · Physics 2016-03-11 Julián Martínez-Rincón , Wei-Tao Liu , Gerardo I. Viza , John C. Howell

The idea of signal amplification is ubiquitous in the control of physical systems, and the ultimate performance limit of amplifiers is set by quantum physics. Increasing the amplitude of an unknown quantum optical field, or more generally…

Quantum Physics · Physics 2010-06-16 G. Y. Xiang , T. C. Ralph , A. P. Lund , N. Walk , G. J. Pryde

When the coupling rate between two quantum systems becomes as large as their characteristic frequencies, it induces dramatic effects on their dynamics and even on the nature of their ground state. The case of a qubit coupled to a harmonic…